Question

directions: find the perimeter and area of each figure b
22.

3ab²
5a²b⁴
23.
4m²
7mn²
3mn²
a = 3(mn²)
2

1. (assume the triangle below is equilateral.)

4m²
8mn
directions: find the area of each figure below.
25.
7a²b
3ab
11a²b

Explanation:

22. Step1: Calculate rectangle perimeter

Perimeter formula: $P=2(l+w)$
$P=2(5a^2b^4 + 3ab^2) = 10a^2b^4 + 6ab^2$

22. Step2: Calculate rectangle area

Area formula: $A=l\times w$
$A=5a^2b^4\times3ab^2=15a^3b^6$

23. Step1: Calculate right triangle perimeter

Perimeter formula: $P=s_1+s_2+s_3$
$P=4m^2 + 3mn^2 + 7mn^2=4m^2 + 10mn^2$

23. Step2: Calculate right triangle area

Area formula: $A=\frac{1}{2}b\times h$
$A=\frac{1}{2}\times3mn^2\times4m^2=6m^3n^2$

24. Step1: Calculate equilateral triangle perimeter

Perimeter formula: $P=3s$
$P=3\times8mn=24mn$

24. Step2: Calculate equilateral triangle area

Area formula: $A=\frac{1}{2}b\times h$
$A=\frac{1}{2}\times8mn\times4m^2=16m^3n$

25. Step1: Calculate trapezoid area

Area formula: $A=\frac{1}{2}(b_1+b_2)h$
$A=\frac{1}{2}(7a^2b + 11a^2b)\times3ab=\frac{1}{2}\times18a^2b\times3ab=27a^3b^2$

Answer:

1. Perimeter: $10a^2b^4 + 6ab^2$, Area: $15a^3b^6$
2. Perimeter: $4m^2 + 10mn^2$, Area: $6m^3n^2$
3. Perimeter: $24mn$, Area: $16m^3n$
4. Area: $27a^3b^2$